Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400co |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
12150512730000 = 24 · 311 · 54 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6375,-101275] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:135:1] |
Generators of the group modulo torsion |
j |
3930400000/1666737 |
j-invariant |
L |
7.1741094224408 |
L(r)(E,1)/r! |
Ω |
0.55499984081304 |
Real period |
R |
2.1543878318714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200bq1 22800n1 68400bo1 |
Quadratic twists by: -4 -3 5 |